| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.46 |
| Score | 0% | 69% |
The endpoints of this line segment are at (-2, -2) and (2, 10). What is the slope-intercept equation for this line?
| y = -2x + 2 | |
| y = 1\(\frac{1}{2}\)x - 2 | |
| y = 3x + 4 | |
| y = 2x + 1 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -2) and (2, 10) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(10.0) - (-2.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)Plugging these values into the slope-intercept equation:
y = 3x + 4
Simplify (7a)(2ab) + (5a2)(3b).
| 29ab2 | |
| -a2b | |
| 72a2b | |
| 29a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(7a)(2ab) + (5a2)(3b)
(7 x 2)(a x a x b) + (5 x 3)(a2 x b)
(14)(a1+1 x b) + (15)(a2b)
14a2b + 15a2b
29a2b
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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normalizing |
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squaring |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
exponents |
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pairs |
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addition |
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division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
What is 9a8 + 4a8?
| 5a16 | |
| 36a16 | |
| a816 | |
| 13a8 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a8 + 4a8 = 13a8